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  3. 4. use a proof by contradiction to show that the s

4. Use a proof by contradiction to show that the square root of 3 is irrational....

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Advance Math

4. Use a proof by contradiction to show that the square root of3 is irrational. You may use the following fact: For any integer k,if k2 is a multiple of 3, then k is a multiple of 3. Hint: Theproof is very similar to the proof that ?2 is irrational.

5. Use a direct proof to show that the product of a rationalnumber and an integer must be a rational number.

6. Use a proof by contradiction to show that the sum of aninteger and an irrational number must be irrational.

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